US20120051489A1 - Superwetting surfaces for diminishing leidenfrost effect, methods of making and devices incorporating the same - Google Patents
Superwetting surfaces for diminishing leidenfrost effect, methods of making and devices incorporating the same Download PDFInfo
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- US20120051489A1 US20120051489A1 US12/872,353 US87235310A US2012051489A1 US 20120051489 A1 US20120051489 A1 US 20120051489A1 US 87235310 A US87235310 A US 87235310A US 2012051489 A1 US2012051489 A1 US 2012051489A1
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F28—HEAT EXCHANGE IN GENERAL
- F28F—DETAILS OF HEAT-EXCHANGE AND HEAT-TRANSFER APPARATUS, OF GENERAL APPLICATION
- F28F13/00—Arrangements for modifying heat-transfer, e.g. increasing, decreasing
- F28F13/18—Arrangements for modifying heat-transfer, e.g. increasing, decreasing by applying coatings, e.g. radiation-absorbing, radiation-reflecting; by surface treatment, e.g. polishing
- F28F13/182—Arrangements for modifying heat-transfer, e.g. increasing, decreasing by applying coatings, e.g. radiation-absorbing, radiation-reflecting; by surface treatment, e.g. polishing especially adapted for evaporator or condenser surfaces
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F28—HEAT EXCHANGE IN GENERAL
- F28F—DETAILS OF HEAT-EXCHANGE AND HEAT-TRANSFER APPARATUS, OF GENERAL APPLICATION
- F28F13/00—Arrangements for modifying heat-transfer, e.g. increasing, decreasing
- F28F13/18—Arrangements for modifying heat-transfer, e.g. increasing, decreasing by applying coatings, e.g. radiation-absorbing, radiation-reflecting; by surface treatment, e.g. polishing
- F28F13/185—Heat-exchange surfaces provided with microstructures or with porous coatings
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- G—PHYSICS
- G21—NUCLEAR PHYSICS; NUCLEAR ENGINEERING
- G21C—NUCLEAR REACTORS
- G21C3/00—Reactor fuel elements and their assemblies; Selection of substances for use as reactor fuel elements
- G21C3/02—Fuel elements
- G21C3/04—Constructional details
- G21C3/06—Casings; Jackets
- G21C3/08—Casings; Jackets provided with external means to promote heat-transfer, e.g. fins, baffles
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F28—HEAT EXCHANGE IN GENERAL
- F28F—DETAILS OF HEAT-EXCHANGE AND HEAT-TRANSFER APPARATUS, OF GENERAL APPLICATION
- F28F2255/00—Heat exchanger elements made of materials having special features or resulting from particular manufacturing processes
- F28F2255/20—Heat exchanger elements made of materials having special features or resulting from particular manufacturing processes with nanostructures
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- G—PHYSICS
- G21—NUCLEAR PHYSICS; NUCLEAR ENGINEERING
- G21C—NUCLEAR REACTORS
- G21C3/00—Reactor fuel elements and their assemblies; Selection of substances for use as reactor fuel elements
- G21C3/02—Fuel elements
- G21C3/04—Constructional details
- G21C3/06—Casings; Jackets
- G21C3/07—Casings; Jackets characterised by their material, e.g. alloys
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E30/00—Energy generation of nuclear origin
- Y02E30/30—Nuclear fission reactors
Definitions
- This invention relates to surfaces for diminishing the Leidenfrost effect and more particularly to surfaces having multiple length-scale textures including micro- and/or nanoscale texturing to diminish the Leidenfrost effect.
- the heat transfer of droplets or sprays impinging on a super-heated dry surface or pool boiling can be categorized into four regimes: single-phase liquid evaporative cooling, nucleate boiling, transition boiling and film boiling. See, Bernadin, J. D., et al. “Mapping of Impact and Heat Transfer Regimes of Water props Impinging on a Polished Surface,” Int. J. Heat Mass Transfer 40 (1997) 247-267.
- the boundary between nucleate boiling and transition boiling is the point of the highest heat transfer coefficient and is denoted as the critical heat flux (CHF) point.
- CHF critical heat flux
- transition boiling and film boiling is the point of lowest heat transfer coefficient and is denoted as the Leidenfrost point (LFP).
- the LFP is characterized by levitation of a droplet above a heated surface, supported by the excess pressure of the vapor generated between the droplet and the solid surface. See, Biance, A. L., et al. “Leidenfrost props,” Phys Fluids 15 (2003) 1632-1637. As power densities continue to increase, the nature of the droplet-surface interaction will fundamentally limit this process. This limitation arises from the Leidenfrost effect, in which thin vapor film formation under the drops prevents surface wetting. Under such circumstances, heat transfer occurs via conduction through the vapor films leading to dry-out, catastrophically high surface temperatures, and failure of the device.
- the invention is a textured surface for increasing Leidenfrost temperature.
- the surface includes an array of microscale structures extending from the surface, the structures having size, height and spacing selected to increase the Leidenfrost temperature.
- the texture comprises of surface features over multiple length scales—from micro to nanoscale—wherein the features at each length scale have a size, height, and spacing selected to increase the Leidenfrost temperature.
- the surface includes microscale structures disposed with nanoscale structures on their surfaces. The size, height and spacing of the microscale and nanoscale structures are selected to maximize the Leidenfrost temperature.
- the term height could also mean depth of the features
- the microscale structures are posts with a width a, height h and spacing b wherein the b/a ratio and h/a ratio are selected to increase Leidenfrost temperature.
- the nanoscale structures may be particles. The particles are preferably in the size range of 15 nm to 500 nm. The b/a ratio may be in the range of 0.25 to 10.
- the microscale features may have a width upto 100 ⁇ m.
- the multiscale structure comprises of microscale structures that may be porous material with nanoscale features disposed on the material.
- the invention is a hierarchically textured surface for increasing the Leidenfrost temperature including an array of microscale structures extending from the surface, the structures having a selected size, height and spacing. Nanoscale structures having a selected size range are disposed on the microscale structures whereby the Leidenfrost temperature is increased.
- FIGS. 1 a and 1 b are schematic illustrations showing the effect of surface wettability on the state of the vapor bubble attachment to the surface.
- FIGS. 2 a, b, c, d and e are illustrations of multiple length scale structures disclosed herein.
- FIGS. 3 a and 3 b are photomicrographs of embodiments of the invention disclosed herein.
- FIG. 4 are SEM images of silica particles self-assembled on a micro-scale structured surface.
- FIG. 5 are SEM images of silica particles self-assembled on a flat silicon substrate.
- FIG. 6 are SEM images of porous copper having pores between copper particles, nanoscale cavities and nanowires on copper particles.
- FIGS. 7 a and 7 b are photomicrographs showing drop behaviors on hot surfaces.
- FIG. 8 is a graph of experimental measurements of Leidenfrost temperature versus b/a of a single length-scale microscale structure.
- FIGS. 9 a and 9 b are graphs of Leidenfrost temperature plotted for different design parameters of spacing ratio and aspect ratio.
- FIGS. 10 , 11 , 12 and 13 are photomicrographs of structures having multiple length scales.
- FIG. 14 is a graph of experimental measurements of Leidenfrost temperature versus b/a of multiscale micro-nano structures in comparison to single length-scale microscale structure.
- FIGS. 15 a, b, c, d and e are schematic illustrations showing the surfaces of the invention used on nuclear reactor fuel rods.
- FIG. 16 is a schematic illustration of a heat transfer device utilizing the surfaces of the invention.
- FIG. 1 shows the effect of surface wettability on rewetting.
- FIG. 1 a partial surface wetting causes a vapor bubble to stick to the surface and prevent rewetting.
- FIG. 1 b superwetting surfaces disclosed herein can easily allow liquid to rewet a surface and forces a vapor bubble to detach from the surface.
- FIGS. 2 a, b, c, d and e shown are exemplary structures having superwetting characteristics.
- these structures include protrusions, cavities or combinations of both selected to increase Leidenfrost temperature.
- the structures in FIGS. 2 b , 2 c and 2 d have hierarchical features while FIG. 2 e has a gradient of surface feature sizes.
- microscale square posts were fabricated on silicon wafers with regular micro-electromechanical system processes such as photolithography followed by reactive ion etch.
- Square posts of 10 ⁇ 10 ⁇ m 2 and 3 ⁇ 3 ⁇ m 2 cross sections were etched with different pitches and aspect ratios as shown in FIG. 3 a .
- silica particles with diameters in the range of 15 nm to 250 nm were self-assembled on the square posts and then sintered.
- FIG. 3 b is an SEM image of the fabricated silicon structured surface with 10 ⁇ m tall, 10 ⁇ 10 ⁇ m 2 posts having a pitch dimension of 5 ⁇ m.
- FIG. 4 shown are SEM images of a hierarchical structure that was made by self assembling silica particles on a microscale structured surface.
- approximately 230 nm diameter particles (Ultra High Purity Colloidal Silica, PL-20, FUSO chemical Co. Ltd., Japan) were self-assembled (1000 rpm for 30 seconds) on approximately 4 ⁇ m tall, 10 ⁇ m 2 cross-sectional area posts with 15 ⁇ m spacing.
- the left image in FIG. 4 is at 2000 ⁇ ; the top right image is at 8000 ⁇ ; and the lower right image is at 25000 ⁇ .
- FIG. 5 Another example is shown in FIG. 5 .
- the particles can be made to gather into clusters. They may form a hierarchical structure. Approximately 230 nm silica particles were self-assembled on a smooth, flat silicon substrate followed by sintering (baking) at 1100° C. for 30 minutes. The resulting clusters made from the particles are a few ⁇ m in size.
- the left image in FIG. 5 was made at 20000 ⁇ and the right image at 100000 ⁇ .
- porous copper includes pores between necked micro-scale copper particles, nano-scale cavities and nano-wires on the copper particles.
- approximately 50 ⁇ m diameter copper powders were packed and pressed under 20 kpsi and then sintered at 700° C. for 15 minutes.
- the left image in FIG. 6 was made at 1000 ⁇ , and the right image at 5000 ⁇ .
- nucleation With reference to FIG. 7 a, 32 ⁇ L droplets were deposited on a 310° C. substrate. As a drop initially touches the substrate, we observed two different behaviors, nucleate boiling and film boiling. In nucleate boiling, nucleation arises both inside and on the surface of a liquid drop as shown in FIG. 7 b . At a relatively higher temperature, liquid droplets never go through any changes but begin bouncing as shown in FIG. 7 a because of a thin vapor film, namely, film boiling behavior. We looked into the temperature borderline between the two behaviors, defined as the Leidenfrost temperature, for all different scale structured substrates. As shown in FIG. 7 b , nucleation starts on the structured surface having the 10 ⁇ m 2 pillar array with an aspect ratio (h/a) of approximately 1, and a spacing ratio (b/a) of approximately 4.
- FIG. 8 Experimental results on microscale structured surfaces are shown in FIG. 8 .
- the filled diamond marks are from a silicon surface with 10 ⁇ 10 ⁇ m 2 posts and the square marks are from a surface with 3 ⁇ 3 ⁇ m 2 posts.
- the aspect ratio is approximately 1.
- the Leidenfrost temperatures are higher on the square pillared substrates.
- the Leidenfrost temperature also varies with the pitch of the structure as well as the size of the square posts.
- FIG. 8 implies that there is an optimal spacing ratio which maximizes the Leidenfrost temperature as compared to the smooth surface.
- the vapor from the drop escapes through the pillars and it is possible to be considered as a flow through porous media. Since the vapor layer is thin enough to be assumed to be one dimensional, we can introduce Darcy's law to the vapor flow escaping from the structured surface. Then, we get the vapor flow rate
- K is the permeability of the pillar structure
- ⁇ v is the density of the vapor
- ⁇ is the kinetic viscosity of the vapor
- ⁇ P is the wetting pressure inducing flow from the pillars.
- the solid line represents the Leidenfrost temperature for h/a of approximately 3 and the dashed line is for h/a of approximately 1.
- the dotted line is the Leidenfrost temperature of the same drop on a flat surface.
- the solid line is plotted for the average pore size of 500 nm.
- Significant enhancements of the Leidenfrost temperature are predicted on the surface with multiscale (micro-nano) structures.
- the volume of the drop is chosen to be 32 ⁇ L, the surface properties are adapted from silicon dioxide, and the height, h, is 9 ⁇ m.
- FIGS. 10 and 11 Another example of textured surfaces disclosed herein is shown in FIGS. 10 and 11 below.
- 70 nm particles are deposited onto the 10 um posts.
- the substrate with silicon posts was plasma cleaned in oxygen plasma, giving it a negative charge.
- the substrate with the posts was then dipped in a solution of PAH and water for 15 minutes, leaving a positive charge on the surface.
- the surface was then dipped into a suspension of 70 nm silica particles (Ultra High Purity Colloidal Silica, PL-7, FUSO chemical Co. Ltd., Japan) for 15 minutes while the negatively charged colloidal silica particles adsorbed onto the positively charged surface. After each 15-minute dip the substrate is dipped in rinse water for a few minutes.
- FIGS. 12 and 13 Another example is shown in FIGS. 12 and 13 .
- This example shows 10 nm particles deposited on 230 nm particles.
- a silicon substrate was plasma cleaned in oxygen plasma, giving it a negative charge.
- the substrate was then dipped in a solution of PAH and water for 15 minutes, leaving a positive charge on the surface.
- the surface was then dipped into a suspension of 230 nm silica particles (Ultra High Purity Colloidal Silica, PL-20, FUSO chemical Co. Ltd., Japan) for 15 minutes while the negatively charged colloidal silica particles adsorbed onto the positively charged surface.
- the substrate was dipped into the solution of PAH again for 15 minutes.
- Multiscale structures including tri-modal structure could be produced by dipping following the method described in the example of FIGS. 12 and 13 but by using a substrate with posts rather than a smooth substrate initially.
- a 4-level structure could be 10 nm particles on 100 nm particles on 1 ⁇ m particles on 10 ⁇ m posts, produced with the same dip coating method described previously.
- FIG. 14 shows results with multiscale hierarchical micro-nano surfaces when compared to microscale and smooth surfaces.
- the microposts disposed with nanoparticles show dramatic increases in Leidenfrost temperature and observed nucleate boiling behavior as high as 400° C., the limit of the experiment.
- the reference liquid can be selected from the group consisting of aqueous and non-aqueous liquids including water, organic liquids, mixtures, oils, emulsions, liquid metals, liquid nitrogen, liquid CO 2 , hydrocarbon liquids, liquefied hydrocarbons, liquid helium, and liquefied rare gases.
- the surface features described in the application can have shapes selected from the group consisting of a prism, sphere, polyhedron, cone and combinations thereof.
- a prism sphere
- polyhedron polyhedron
- cone cone
- materials could be drawn from a range of materials including metals, polymers, ceramic, intermetallics, semiconductors, cermets, and combinations thereof.
- the textured structures of the invention may be used on the surface of fuel rods in a nuclear reactor.
- Two-phase flow is present within the fuel rod assembly of a nuclear reactor. This presents the problem of boiling nucleate sites on the fuel rods.
- the liquid moderator is replaced by a vapor moderator. Because vapor is less dense than liquid, two things occur.
- the heat transfer is decreased due to the lower thermal conductivity of a substance's gas state relative to that of its respective liquid state.
- the macroscopic neutron scattering cross section is decreased with the decreased density of the moderator.
- All fission, scattering, and absorption cross sections are energy dependent. Thus these fluctuations create fluctuations on all properties throughout the reactor.
- the symmetry of the fuel is compromised when this occurs and when it does, the lives of the fuel rods are shortened.
- Every part of the nuclear reactor core plays a role in its neutron population. Simply by being there, every component is changing the speed and or direction of neutrons.
- the moderator contains a significant portion of the neutron flux of a nuclear fuel assembly. Its role is to scatter the neutrons back into the core and slow them down so that they are more likely to fission.
- the implications of placing the structures of the invention on fuel rods will affect the neutron flux of the reactor. Thus by applying these textured structures we are addressing both the heat transfer and the neutronics.
- nucleation sites By incorporating textured surfaces to the fuel rods we can control the location of nucleation sites. With this ability, areas of preferential moderation sites can be formed to preserve the integrity of the fuel and increase the performance and power output. Until now, random loss of moderation around the core due to nucleation was an unsolvable problem. With such structures disclosed herein, controlled boiling sites can be implemented to have better control of the moderation. Thus in a lattice of fuel rods the vapor is channeled into optimal placement. At these nucleation sites, high thermal conductivity elements could be present to divert the heat into areas with coolant. At the preferential moderation sites, vapor film formation is prevented and therefore, more fissile material could be present due to better moderation. With these structures, moderator placement becomes part of the design. This would revolutionize the design of nuclear fuel rods.
- the quality of a fluid is governed by the temperature, pressure, and volume of the system which it is in.
- the temperature, pressure and volume are globally constant, thus the amount of vapor and liquid are given.
- selective nucleate states can be formed which “store” the vapor. This storage of vapor will decrease the moderation at their respective sites. In turn, it will increase the concentration of liquid at other locations, allowing for increased moderation.
- the fuel design can be optimized for this and the fuel would reside under more predictable conditions. Because the presence of two phases cannot be controlled, we suggest that using these structures of the invention can allow for the design of fuel rods which control nucleation and in turn implement necessary features to react to it.
- FIG. 15 a is an array of nuclear reactor fuel rods.
- FIG. 15 b shows neutron flux versus axial position in which a liquid layer effectively moderates the neutrons released in the fission reaction.
- FIG. 15 c when a vapor layer is formed (due to boiling) moderation is affected and neutron flux is decreased.
- FIG. 15 d a fuel rod has a superwetting surface so that a fuel rod is continuously rewet so that liquid is always present to moderate the neutrons and enhance fission.
- Superwetting structures can be disposed on a fuel rod surface as shown in FIG. 15 e to cause preferential moderation sites.
- the device 10 includes a high-performance spray cooling system comprising the superwetting heat transfer surface 12 disclosed herein and an atomizer 14 and a condensing surface 16 that are contained in a hermetic envelope.
- the superwetting surfaces will be engineered as described above to significantly enhance the wetting of the impinging droplets from the spray to undergo complete nucleate boiling by overcoming the fundamental Leidenfrost constraint and thereby dissipating extremely high heat flux.
- the vapor generated during this process will be condensed onto a condenser that is capable of handling high power densities and transported to a liquid reservoir to complete the closed cycle.
- the device 10 presented in FIG. 16 consists of two important transport paths: thermal and mass transport.
- the thermal transport path begins at the heat source, passes through the thickness of the envelope of the device, superwetting surface, vapor transport region, and finally ends at the condenser and reaches the cooling source through the thickness of the envelope as shown in FIG. 16 .
- the mass transport involves the flow of atomizing liquid droplets that are converted into vapor at the superwetting surface, and finally condensed into liquid in the condenser to feed the reservoir.
- the entire system will be assembled into a hermetic package that can allow easy integration with existing thermal management systems.
- the nanoengineered-surface-enabled technological innovations described herein will fundamentally alter thermal-fluid-surface interactions to dramatically enhance system performance.
Abstract
Description
- This invention relates to surfaces for diminishing the Leidenfrost effect and more particularly to surfaces having multiple length-scale textures including micro- and/or nanoscale texturing to diminish the Leidenfrost effect.
- The heat transfer of droplets or sprays impinging on a super-heated dry surface or pool boiling can be categorized into four regimes: single-phase liquid evaporative cooling, nucleate boiling, transition boiling and film boiling. See, Bernadin, J. D., et al. “Mapping of Impact and Heat Transfer Regimes of Water props Impinging on a Polished Surface,” Int. J. Heat Mass Transfer 40 (1997) 247-267. The boundary between nucleate boiling and transition boiling is the point of the highest heat transfer coefficient and is denoted as the critical heat flux (CHF) point. The boundary between transition boiling and film boiling is the point of lowest heat transfer coefficient and is denoted as the Leidenfrost point (LFP). The LFP is characterized by levitation of a droplet above a heated surface, supported by the excess pressure of the vapor generated between the droplet and the solid surface. See, Biance, A. L., et al. “Leidenfrost props,” Phys Fluids 15 (2003) 1632-1637. As power densities continue to increase, the nature of the droplet-surface interaction will fundamentally limit this process. This limitation arises from the Leidenfrost effect, in which thin vapor film formation under the drops prevents surface wetting. Under such circumstances, heat transfer occurs via conduction through the vapor films leading to dry-out, catastrophically high surface temperatures, and failure of the device. This fundamental limitation leads to the classical catastrophic kink instability (for temperatures beyond the critical heat flux temperature) in the heat flux versus temperature curve. As a result, two-phase cooling solutions have to operate at significantly lower heat flux levels. Similar limitations are encountered in quenching and some coating processes.
- It is an object of the present invention to overcome these significant limitations by engineering multiple length scale super wetting surfaces including surfaces with micro- and nano-structures that can fundamentally alter droplet-surface interactions to continuously rewet the surface, prevent vapor film formation, and enhance the Leidenfrost temperature.
- In a first aspect, the invention is a textured surface for increasing Leidenfrost temperature. The surface includes an array of microscale structures extending from the surface, the structures having size, height and spacing selected to increase the Leidenfrost temperature. In a preferred embodiment, the texture comprises of surface features over multiple length scales—from micro to nanoscale—wherein the features at each length scale have a size, height, and spacing selected to increase the Leidenfrost temperature. In one embodiment the surface includes microscale structures disposed with nanoscale structures on their surfaces. The size, height and spacing of the microscale and nanoscale structures are selected to maximize the Leidenfrost temperature. The term height could also mean depth of the features
- In a preferred embodiment, the microscale structures are posts with a width a, height h and spacing b wherein the b/a ratio and h/a ratio are selected to increase Leidenfrost temperature. The nanoscale structures may be particles. The particles are preferably in the size range of 15 nm to 500 nm. The b/a ratio may be in the range of 0.25 to 10. The microscale features may have a width upto 100 μm. In another embodiment the multiscale structure comprises of microscale structures that may be porous material with nanoscale features disposed on the material.
- In another embodiment, the invention is a hierarchically textured surface for increasing the Leidenfrost temperature including an array of microscale structures extending from the surface, the structures having a selected size, height and spacing. Nanoscale structures having a selected size range are disposed on the microscale structures whereby the Leidenfrost temperature is increased.
-
FIGS. 1 a and 1 b are schematic illustrations showing the effect of surface wettability on the state of the vapor bubble attachment to the surface. -
FIGS. 2 a, b, c, d and e are illustrations of multiple length scale structures disclosed herein. -
FIGS. 3 a and 3 b are photomicrographs of embodiments of the invention disclosed herein. -
FIG. 4 are SEM images of silica particles self-assembled on a micro-scale structured surface. -
FIG. 5 are SEM images of silica particles self-assembled on a flat silicon substrate. -
FIG. 6 are SEM images of porous copper having pores between copper particles, nanoscale cavities and nanowires on copper particles. -
FIGS. 7 a and 7 b are photomicrographs showing drop behaviors on hot surfaces. -
FIG. 8 is a graph of experimental measurements of Leidenfrost temperature versus b/a of a single length-scale microscale structure. -
FIGS. 9 a and 9 b are graphs of Leidenfrost temperature plotted for different design parameters of spacing ratio and aspect ratio. -
FIGS. 10 , 11, 12 and 13 are photomicrographs of structures having multiple length scales. -
FIG. 14 is a graph of experimental measurements of Leidenfrost temperature versus b/a of multiscale micro-nano structures in comparison to single length-scale microscale structure. -
FIGS. 15 a, b, c, d and e are schematic illustrations showing the surfaces of the invention used on nuclear reactor fuel rods. -
FIG. 16 is a schematic illustration of a heat transfer device utilizing the surfaces of the invention. - First, some of the theory on which the present invention is based will be discussed. Superwetting nanostructures can continuously allow droplets to rewet a surface and prevent vapor film formation as shown in
FIG. 1 .FIG. 1 shows the effect of surface wettability on rewetting. InFIG. 1 a, partial surface wetting causes a vapor bubble to stick to the surface and prevent rewetting. As shown inFIG. 1 b, superwetting surfaces disclosed herein can easily allow liquid to rewet a surface and forces a vapor bubble to detach from the surface. This increased rewetting along with the increased nucleation sites will significantly increase the maximum heat flux and Leidenfrost temperatures and therefore prevent vapor-film formation, boiling transition, and “dry-out” conditions to occur. Furthermore, the superwetting nature of the surface could increase the droplet rewetting Leidenfrost temperature limit and enhance heat transfer during droplet or liquid jet impingement on the surface in these situations by increasing the rewetting of the surface as well as by providing a path for vapor escape from underneath the impinging droplet or jet. This effect can also lead to significantly improved wetting of superheated surfaces in operations such as quenching, spray cooling, droplet rewetting on fuel rods and cladding surface in nuclear reactors, boilers, thermal spray coatings, etc. An ultimate goal would be to completely eliminate the kink in the boiling curve so that CHF limitations can be completely eliminated. Based on experiments and theoretical calculations, the inventors herein have identified a new design space of surface textures that can significantly enhance nucleate boiling, prevent dryout, and significantly diminish the Leidenfrost limits. The concepts disclosed herein utilize multiple length scale surface features including hierarchical nano/micro surface design. - With reference to
FIGS. 2 a, b, c, d and e, shown are exemplary structures having superwetting characteristics. In particular, these structures include protrusions, cavities or combinations of both selected to increase Leidenfrost temperature. The structures inFIGS. 2 b, 2 c and 2 d have hierarchical features whileFIG. 2 e has a gradient of surface feature sizes. - In one embodiment, microscale square posts were fabricated on silicon wafers with regular micro-electromechanical system processes such as photolithography followed by reactive ion etch. Square posts of 10×10 μm2 and 3×3 μm2 cross sections were etched with different pitches and aspect ratios as shown in
FIG. 3 a. After the posts were fabricated they were cleaned by a 5:1 mixture of 98% sulfuric acid and 30% hydrogen peroxide available from Sigma Aldrich. This cleaning process enables silicon dioxide surfaces to become more hydrophilic. In order to provide nanoscale texture, silica particles with diameters in the range of 15 nm to 250 nm were self-assembled on the square posts and then sintered. Porous metal substrates were also fabricated using normal ceramic processes by pressing powder and then sintering.FIG. 3 b is an SEM image of the fabricated silicon structured surface with 10 μm tall, 10×10 μm2 posts having a pitch dimension of 5 μm. - With reference to
FIG. 4 , shown are SEM images of a hierarchical structure that was made by self assembling silica particles on a microscale structured surface. In this example, approximately 230 nm diameter particles (Ultra High Purity Colloidal Silica, PL-20, FUSO chemical Co. Ltd., Japan) were self-assembled (1000 rpm for 30 seconds) on approximately 4 μm tall, 10 μm2 cross-sectional area posts with 15 μm spacing. The left image inFIG. 4 is at 2000×; the top right image is at 8000×; and the lower right image is at 25000×. - Another example is shown in
FIG. 5 . In this example, after self assembly of nano particles on flat surfaces, the particles can be made to gather into clusters. They may form a hierarchical structure. Approximately 230 nm silica particles were self-assembled on a smooth, flat silicon substrate followed by sintering (baking) at 1100° C. for 30 minutes. The resulting clusters made from the particles are a few μm in size. The left image inFIG. 5 was made at 20000× and the right image at 100000×. - Yet another example structure is shown in
FIG. 6 in which porous copper includes pores between necked micro-scale copper particles, nano-scale cavities and nano-wires on the copper particles. In this example, approximately 50 μm diameter copper powders were packed and pressed under 20 kpsi and then sintered at 700° C. for 15 minutes. The left image inFIG. 6 was made at 1000×, and the right image at 5000×. - Experiments have been performed to assess the enhanced wettability. A millimetric droplet was gently deposited on each substrate whose temperature was kept constant by seating on a hot stage. Initial behavior of a deposited droplet was recorded by a high-speed video camera, Phantom V7 by Vision Research, Inc. The liquid droplets were preheated to the highest possible temperature where water does not nucleate to form a gas bubble. The preheating temperature was limited since it is difficult to control the volume in a liquid droplet as bubbles start to nucleate. The hot stage used was an assembly including a ceramic heater controlled by a temperature controller manufactured by Watlow Electric Manufacturing Company. An aluminum plate was laid on the heater and a thermal insulation block enveloped the entire assembly. It is preferred that the aluminum plate has small holes right beneath the top surface for receiving thermocouples that allow one to measure as accurate a temperature as possible.
- With reference to
FIG. 7 a, 32 μL droplets were deposited on a 310° C. substrate. As a drop initially touches the substrate, we observed two different behaviors, nucleate boiling and film boiling. In nucleate boiling, nucleation arises both inside and on the surface of a liquid drop as shown inFIG. 7 b. At a relatively higher temperature, liquid droplets never go through any changes but begin bouncing as shown inFIG. 7 a because of a thin vapor film, namely, film boiling behavior. We looked into the temperature borderline between the two behaviors, defined as the Leidenfrost temperature, for all different scale structured substrates. As shown inFIG. 7 b, nucleation starts on the structured surface having the 10 μm2 pillar array with an aspect ratio (h/a) of approximately 1, and a spacing ratio (b/a) of approximately 4. - Experimental results on microscale structured surfaces are shown in
FIG. 8 . InFIG. 8 , the filled diamond marks are from a silicon surface with 10×10 μm2 posts and the square marks are from a surface with 3×3 μm2 posts. In both cases, the aspect ratio is approximately 1. As compared to a smooth surface (dashed line), the Leidenfrost temperatures are higher on the square pillared substrates. The Leidenfrost temperature also varies with the pitch of the structure as well as the size of the square posts.FIG. 8 implies that there is an optimal spacing ratio which maximizes the Leidenfrost temperature as compared to the smooth surface. - It should be noted that on the hierarchical porous copper substrate shown in
FIG. 6 , we observed nucleate boiling behavior as high as 400° C., the limit of the experiment. - We next developed a mathematical model relating to this invention. As a droplet is deposited on a hot enough solid, it is levitated by a thin vapor film evaporated from the surface of the droplet. On our single scale structured surface as illustrated in
FIG. 3 a, a droplet at the boundary between a Leidenfrost drop and a rewetting nucleation drop is assumed to be seated at the top of the pillars. The heat transferred to the droplet is proportional to the contact surface area πRb 2 and the effective heat conductivity of the composition of solid squares and the vapor surrounding them, keff. Then, the rate of evaporation is determined by the transferred heat and latent heat of evaporation which is -
- The vapor from the drop escapes through the pillars and it is possible to be considered as a flow through porous media. Since the vapor layer is thin enough to be assumed to be one dimensional, we can introduce Darcy's law to the vapor flow escaping from the structured surface. Then, we get the vapor flow rate
-
- where K is the permeability of the pillar structure, ρv is the density of the vapor, μ is the kinetic viscosity of the vapor and ΔP is the wetting pressure inducing flow from the pillars.
- For a small droplet (R<lc) where lc is capillary length, lc=(γ/ρg)0.5, the radius of the drop basement, Rb, is scaled to the square of the drop radius, R, as
-
- Also, the wetting pressure is dominated by capillary pressure among the pillars. This pressure is given by ΔP=2√{square root over (2)}γ cos θA/B where γ is the surface tension of the liquid, and θA is the advancing contact angle of liquid on the solid surface. By balancing the rate of evaporation and the vapor flow rate, we get the result with a reasonable scaling parameter as plotted in
FIG. 9 . The Leidenfrost temperature changes according to design parameters such as the spacing ratio (b/a) and the aspect ratio (h/a), and there are optimal design values that maximize the Leidenfrost temperature. - For a hierarchical structure which is a microscale structure coated by nanoscale particles such as silica, only the wetting pressure changes because the capillary pressure through pores in the network of silica particles becomes dominant, which is given by
-
ΔP*=2√{square root over (2)}γ cos θA /d avg - where davg is the average pore diameter of the silica particle network. The result is plotted in
FIG. 9 . As the space of microscale posts gets larger, the resistance against the vapor flow becomes smaller due to the larger permeability of the structure. However it settles at an asymptote because the surface characteristics become flat as the space among pillars gets to be too large. - With respect to
FIG. 9 a, in the case of microscale structures, the solid line represents the Leidenfrost temperature for h/a of approximately 3 and the dashed line is for h/a of approximately 1. The dotted line is the Leidenfrost temperature of the same drop on a flat surface. For a hierarchical structure as shown inFIG. 9 b, the solid line is plotted for the average pore size of 500 nm. Significant enhancements of the Leidenfrost temperature are predicted on the surface with multiscale (micro-nano) structures. In the plots inFIG. 9 , the volume of the drop is chosen to be 32 μL, the surface properties are adapted from silicon dioxide, and the height, h, is 9 μm. - Another example of textured surfaces disclosed herein is shown in
FIGS. 10 and 11 below. In this example 70 nm particles are deposited onto the 10 um posts. In order to deposit the particles, the substrate with silicon posts was plasma cleaned in oxygen plasma, giving it a negative charge. The substrate with the posts was then dipped in a solution of PAH and water for 15 minutes, leaving a positive charge on the surface. The surface was then dipped into a suspension of 70 nm silica particles (Ultra High Purity Colloidal Silica, PL-7, FUSO chemical Co. Ltd., Japan) for 15 minutes while the negatively charged colloidal silica particles adsorbed onto the positively charged surface. After each 15-minute dip the substrate is dipped in rinse water for a few minutes. - Another example is shown in
FIGS. 12 and 13 . This example shows 10 nm particles deposited on 230 nm particles. In order to deposit the particles, a silicon substrate was plasma cleaned in oxygen plasma, giving it a negative charge. The substrate was then dipped in a solution of PAH and water for 15 minutes, leaving a positive charge on the surface. The surface was then dipped into a suspension of 230 nm silica particles (Ultra High Purity Colloidal Silica, PL-20, FUSO chemical Co. Ltd., Japan) for 15 minutes while the negatively charged colloidal silica particles adsorbed onto the positively charged surface. The substrate was dipped into the solution of PAH again for 15 minutes. It was then dipped into a suspension of 10 nm silica particles for 15 minutes. (Ultra High Purity Colloidal Silica, PL-1, FUSO chemical Co. Ltd., Japan). After each 15-minute dip the substrate is dipped in rinse water for a few minutes. - Multiscale structures including tri-modal structure could be produced by dipping following the method described in the example of
FIGS. 12 and 13 but by using a substrate with posts rather than a smooth substrate initially. Or a 4-level structure could be 10 nm particles on 100 nm particles on 1 μm particles on 10 μm posts, produced with the same dip coating method described previously. -
FIG. 14 shows results with multiscale hierarchical micro-nano surfaces when compared to microscale and smooth surfaces. The microposts disposed with nanoparticles (ofFIG. 4 ) show dramatic increases in Leidenfrost temperature and observed nucleate boiling behavior as high as 400° C., the limit of the experiment. - The reference liquid can be selected from the group consisting of aqueous and non-aqueous liquids including water, organic liquids, mixtures, oils, emulsions, liquid metals, liquid nitrogen, liquid CO2, hydrocarbon liquids, liquefied hydrocarbons, liquid helium, and liquefied rare gases.
- The surface features described in the application can have shapes selected from the group consisting of a prism, sphere, polyhedron, cone and combinations thereof. Apart from the methods described in this invention several other approaches for material removal or deposition known in the art such as anodization, micromachining, laser processing, nanowire growth, nanocrystal growth, phase seperation, etching techniques, electroplating, spray coating, etc, could be used to fabricate the features. The substrate materials could be drawn from a range of materials including metals, polymers, ceramic, intermetallics, semiconductors, cermets, and combinations thereof.
- The textured structures of the invention may be used on the surface of fuel rods in a nuclear reactor. Two-phase flow is present within the fuel rod assembly of a nuclear reactor. This presents the problem of boiling nucleate sites on the fuel rods. There are several issues associated with this. When a nucleate site forms, the liquid moderator is replaced by a vapor moderator. Because vapor is less dense than liquid, two things occur. The heat transfer is decreased due to the lower thermal conductivity of a substance's gas state relative to that of its respective liquid state. To the same effect, the macroscopic neutron scattering cross section is decreased with the decreased density of the moderator. These effects cause random fluctuations in the spatial temperature distribution and the spatial neutron population of the fuel rod and in turn the core of the reactor. All fission, scattering, and absorption cross sections are energy dependent. Thus these fluctuations create fluctuations on all properties throughout the reactor. The symmetry of the fuel is compromised when this occurs and when it does, the lives of the fuel rods are shortened.
- Every part of the nuclear reactor core plays a role in its neutron population. Simply by being there, every component is changing the speed and or direction of neutrons. The moderator contains a significant portion of the neutron flux of a nuclear fuel assembly. Its role is to scatter the neutrons back into the core and slow them down so that they are more likely to fission. The implications of placing the structures of the invention on fuel rods will affect the neutron flux of the reactor. Thus by applying these textured structures we are addressing both the heat transfer and the neutronics.
- By incorporating textured surfaces to the fuel rods we can control the location of nucleation sites. With this ability, areas of preferential moderation sites can be formed to preserve the integrity of the fuel and increase the performance and power output. Until now, random loss of moderation around the core due to nucleation was an unsolvable problem. With such structures disclosed herein, controlled boiling sites can be implemented to have better control of the moderation. Thus in a lattice of fuel rods the vapor is channeled into optimal placement. At these nucleation sites, high thermal conductivity elements could be present to divert the heat into areas with coolant. At the preferential moderation sites, vapor film formation is prevented and therefore, more fissile material could be present due to better moderation. With these structures, moderator placement becomes part of the design. This would revolutionize the design of nuclear fuel rods.
- The quality of a fluid is governed by the temperature, pressure, and volume of the system which it is in. At steady-state in a nuclear reactor, the temperature, pressure and volume are globally constant, thus the amount of vapor and liquid are given. Thus with the usage of these textured structures, selective nucleate states can be formed which “store” the vapor. This storage of vapor will decrease the moderation at their respective sites. In turn, it will increase the concentration of liquid at other locations, allowing for increased moderation. Thus the fuel design can be optimized for this and the fuel would reside under more predictable conditions. Because the presence of two phases cannot be controlled, we suggest that using these structures of the invention can allow for the design of fuel rods which control nucleation and in turn implement necessary features to react to it.
- With reference to
FIG. 15 ,FIG. 15 a is an array of nuclear reactor fuel rods.FIG. 15 b shows neutron flux versus axial position in which a liquid layer effectively moderates the neutrons released in the fission reaction. As shown inFIG. 15 c, when a vapor layer is formed (due to boiling) moderation is affected and neutron flux is decreased. As shown schematically inFIG. 15 d, a fuel rod has a superwetting surface so that a fuel rod is continuously rewet so that liquid is always present to moderate the neutrons and enhance fission. Superwetting structures can be disposed on a fuel rod surface as shown inFIG. 15 e to cause preferential moderation sites. - A novel heat transfer device utilizing the superwetting structures of the invention will now be described. The schematic of the overall device is provided in
FIG. 16 . Thedevice 10 includes a high-performance spray cooling system comprising the superwettingheat transfer surface 12 disclosed herein and anatomizer 14 and a condensingsurface 16 that are contained in a hermetic envelope. The superwetting surfaces will be engineered as described above to significantly enhance the wetting of the impinging droplets from the spray to undergo complete nucleate boiling by overcoming the fundamental Leidenfrost constraint and thereby dissipating extremely high heat flux. The vapor generated during this process will be condensed onto a condenser that is capable of handling high power densities and transported to a liquid reservoir to complete the closed cycle. Thedevice 10 presented inFIG. 16 consists of two important transport paths: thermal and mass transport. The thermal transport path begins at the heat source, passes through the thickness of the envelope of the device, superwetting surface, vapor transport region, and finally ends at the condenser and reaches the cooling source through the thickness of the envelope as shown inFIG. 16 . The mass transport involves the flow of atomizing liquid droplets that are converted into vapor at the superwetting surface, and finally condensed into liquid in the condenser to feed the reservoir. The entire system will be assembled into a hermetic package that can allow easy integration with existing thermal management systems. The nanoengineered-surface-enabled technological innovations described herein will fundamentally alter thermal-fluid-surface interactions to dramatically enhance system performance. Calculations for a 5 cm×5 cm×1 cm device show that the device is capable of dissipating high heat flux ˜10 kW/cm2 flux, with high heat transfer coefficients for spray cooling and condenser ˜500,000 W/m2K and an overall device effective conductivity of 100,000 W/mK. In this era of rapidly increasing power densities, these technologies will enable a monumental thermal 355 technological leap and bring about a paradigm shift to thermal management of high-performance military and commercial electronic systems. - The contents of the two references cited above are incorporated herein by reference in their entirety.
- It is recognized that modifications and variations of the invention disclosed herein will be apparent to those of ordinary skill in the art and it is intended that all such modifications and variations be included within the scope of the appended claims.
Claims (53)
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